Formal:
Goodbye
Have a good day
Farewell
So long
It was nice meeting you (when you meet someone for the first time)
Neutral:
Bye
See you next time
See you soon
Until next time
Take care
It was nice talking to you
It was nice seeing you (usually to someone of the opposite gender or a family member that you haven't seen for a long time, or to a group of people)
Informal:
Bye
See you/ya/ye later
Have a good one
'til later
Later
If you're talking to someone who you don't know that was helping you (like a shopkeeper), you can just say 'thanks'.
If someone says "see you later later/soon/tomorrow/Monday... etc.", you can respond "see you then" or "until/'til then".
Good bye
Take Care
See you
So long
Working in the hospitality business for years, I definetly use "Have a good day/night" most often in a formal way.
Formal:
Best Regards,
Your's Trully,
Yours Sincerely.
Informal :
Good Bye,
See you Soon,
Its Pleasure to be with you-take care,
Have a nice day,
Ways to say Goodbye:
<em>Farewell</em>
<em>Have a good day</em>
<em></em><em>Have a good one</em>
<em>Catch you later</em>